CN103995986A - Power frequency electric field computing method for rolling ground overhead transmission line based on charge simulation method - Google Patents
Power frequency electric field computing method for rolling ground overhead transmission line based on charge simulation method Download PDFInfo
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Abstract
The invention provides a power frequency electric field computing method for a rolling ground overhead transmission line based on a charge simulation method. The method comprises the following steps that a, a mirroring ground is selected, and it assumes that the mirroring ground extends into a rolling ground; b, simulated charges and matched points corresponding to the simulated charges are arranged on a wire and a non-mirroring ground, and the electric potential of the rolling ground is made to be zero; c, on the basis of the superposition principle, a simulated charge equation set is constructed, and the simulated charges are solved according to the simulated charge equation set; d, power frequency electric field distribution of the rolling ground is computed according to the simulated charges. The method is based on the image theory and combined with the simulated charge optimization method, the electric field distribution of the complex terrain where an overhead conductor path passes through can be computed, the technical problem that the electric field distribution of the rolling ground cannot be accurately computed in the traditional method is effectively solved, accuracy of power frequency electric field computation of the conductor path is effectively improved, computation difficulty is greatly lowered, the computation quantity is reduced, computation precision is further improved, and the adaptability of the electric field computation method is enhanced.
Description
Technical field
The present invention relates to a kind of electric Field Calculation method, relate in particular to a kind of power frequency electric field computing method of the rolling ground overhead transmission line based on charge simulation method.
Background technology
Along with China's sustained economic development, living standards of the people improve constantly, electricity needs rapid growth, and electrical network scale and capacity constantly increase.For reducing transmission of electricity corridor and improving circuit transport capacity, development high-voltage alternating wire road has become inevitable choice.
High-voltage alternating wire road can produce electromagnetic environment in operational process affects problem, the equivalent charge method that generally adopts international conference on large HV electric systems the 36.01st working group to recommend about the calculating of power frequency electric field both at home and abroad at present, and carry out mainly for desirable level land, ground, ignore the impact of ground in the face of power frequency electric field.But, in the actual erection process in high-voltage conducting wires road, there is no absolute desirable level ground, and show that for the site test of this situation rolling ground distributes and has the impact can not be ignored power frequency electric field.At present, for the calculating of high-voltage overhead conductor road power frequency electric field all taking desirable level land as reference, cause the power frequency electric field calculating on wire road to cause larger error, result of calculation is lacked can referential, and consider when landform below circuit, a large amount of charge simulations and match point to be set all earth's surfaces of zoning, lack optimizing process, amount of calculation is large, still makes precision can not be guaranteed.
Therefore, need to propose a kind of computing method of electric field of the new wire road for rolling ground place, can effectively calculate the electric field on the aerial condutor road at different terrain place, when ensureing computational accuracy, can also greatly reduce amount of calculation, and applicability is wide.
Summary of the invention
In view of this, the power frequency electric field computing method of a kind of rolling ground overhead transmission line based on charge simulation method provided by the invention, can effectively calculate the electric field on the aerial condutor road at different terrain place, when ensureing computational accuracy, can also greatly reduce amount of calculation, and applicability is wide.
The power frequency electric field computing method of a kind of rolling ground overhead transmission line based on charge simulation method provided by the invention, comprise the steps:
A. selected mirror image ground, and suppose that mirror image ground extends in rolling ground;
B. at wire and rolling ground, charge simulation and the match point corresponding with charge simulation are set, the current potential that makes rolling ground is 0;
C. according to superposition principle, build charge simulation system of equations, and according to the size of the solving equations charge simulation of charge simulation;
D. calculate the power frequency electric field distribution of rolling ground according to the size of charge simulation.
Further, between step c and steps d, also comprise step e: according to the big or small computation bound potential errors of charge simulation, if border potential errors does not meet error range requirement, then the position to charge simulation and number are reset according to potential errors, until border potential errors meets error range.
Further, in step c, charge simulation system of equations is:
Wherein:
for wire current potential;
for the zero potential on non-mirror image earth's surface, Q
1... Q
nfor the charge simulation of wire inside; Q
n+1... Q
n+mfor the charge simulation of inside, non-mirror image ground,
r
ijbe the distance between j charge simulation and i match point, as 1≤i≤n, when 1≤j≤n+m, P
ijfor the charge simulation of wire and the coefficient of potential of image charge generation; As n+1≤i≤n+m, when 1≤j≤n+m, P
ijfor the coefficient of potential that charge simulation and the image charge thereof of inside, non-mirror image ground produce, charge simulation system of equations is inverted, show that the size of charge simulation is
Further, in step e, position and number according to Optimized Simulated charge method to charge simulation arrange: obtain by the minimum value that solves the known potential of all match points on field domain border and the difference sum of calculating current potential the charge simulation that reaches error requirements:
for charge simulation j is at the current potential at i match point place;
be the known potential of i match point, conductive line surfaces φ=U, on ground φ=0;
Wherein, in formula (2), there is following constraint condition: the electric weight of S1. charge simulation is free variable; S2. the position of charge simulation must be in invalid computation field domain:
y
Q-f(x
Q)<0i=m+1...n (4)
Wherein, in formula (3) and (4), x
qd, y
qdfor charge simulation coordinate on wire, x
o, y
ofor sub-conductor centre coordinate, r is sub-conductor radius, y
qfor groundwater simulation electric charge ordinate, m is sub-conductor number, and adopts method of conjugate gradient to solve the minimal value in formula (2), thereby tries to achieve the charge simulation size of optimization.
Further, in steps d: calculate rolling ground power frequency electric field according to all charge simulations that reach error range and distribute
:if any point is P (x
1, y
1), its electric field intensity is:
Wherein:
And E
ixRthat the real part electric charge of i root wire and image conductor thereof is at the x component of the electric field of calculated field point generation, E
ixlthat the imaginary part electric charge of i root wire and image conductor thereof is at the x component of the electric field of calculated field point generation; E
iyRthat the real part electric charge of i root wire and image conductor thereof is at the y component of the electric field of calculated field point generation, E
iylbe i root wire and image conductor thereof imaginary part electric charge calculated field point produce electric field y component and:
Further, in step a, selected mirror image ground is the ground of below, wire road, one section of ground that this ground is level.
Further, in step b, while charge simulation and match point being set on non-mirror image ground, the line of adjacent two match points is vertical with the line of charge simulation and Corresponding matching point; Charge simulation is in inside, non-mirror image ground away from the equidistant setting along earth's surface of ground corner, and near charge simulation turning, ground and the density of match point setting are greater than away from the charge simulation on earth's surface, turning, ground and the density of match point.
Beneficial effect of the present invention: the power frequency electric field computing method of the rolling ground overhead transmission line based on charge simulation method of the present invention, can for aerial condutor road the Electric Field Distribution of complex-terrain of process calculate, effectively overcome and cannot carry out for the Electric Field Distribution of rugged topography the technical barrier accurately calculating in classic method, greatly improve the accuracy of the power frequency electric field calculating on wire road, and greatly reduce difficulty in computation, reduce calculated amount, computational accuracy is further enhanced, and has strengthened the applicability of electric Field Calculation method.
Brief description of the drawings
Below in conjunction with drawings and Examples, the invention will be further described:
Fig. 1 is process flow diagram of the present invention.
Fig. 2 be computing electric power line of the present invention while closing on slope ground power frequency electric field charge simulation and match point schematic diagram is set.
Fig. 3 is result of calculation of the present invention and test result comparison diagram.
Fig. 4 is the potential errors comparison diagram that result of calculation of the present invention and traditional algorithm obtain.
Embodiment
Fig. 1 is process flow diagram of the present invention, Fig. 2 be traditional transmission line of electricity while closing on slope ground charge simulation and match point schematic diagram is set, Fig. 3 is result of calculation of the present invention and test result comparison diagram, Fig. 4 is the potential errors comparison diagram that result of calculation of the present invention and traditional algorithm obtain, as shown in the figure, the power frequency electric field computing method of a kind of rolling ground overhead transmission line based on charge simulation method provided by the invention, comprise the steps:
A. selected mirror image ground, and suppose that mirror image ground extends in rolling ground;
B. at wire and rolling ground, charge simulation and the match point corresponding with charge simulation are set, the current potential that makes rolling ground is 0;
C. according to superposition principle, build charge simulation system of equations, and according to the size of the solving equations charge simulation of charge simulation;
D. calculate the power frequency electric field distribution of rolling ground according to the size of charge simulation, the power frequency electric field computing method of the rolling ground overhead transmission line based on charge simulation method of the present invention, can for aerial condutor road the Electric Field Distribution of complex-terrain of process calculate, effectively overcome and cannot carry out for the Electric Field Distribution of rugged topography the technical barrier accurately calculating in classic method, greatly improve the accuracy of the power frequency electric field calculating on wire road, and greatly reduce difficulty in computation, reduce calculated amount, computational accuracy is further enhanced, and strengthen the applicability of electric Field Calculation method.
In the present embodiment, between step c and steps d, also comprise step e: according to the big or small computation bound potential errors of charge simulation, if border potential errors does not meet error range requirement, according to potential errors, the position to charge simulation and number are reset again, and then execution step c, until border potential errors performs step d after meeting error range.
In the present embodiment, in step c, charge simulation system of equations is:
Wherein:
for wire current potential;
for the zero potential on non-mirror image earth's surface, Q
1... Q
nfor the charge simulation of wire inside; Q
n+1... Q
n+mfor the charge simulation of inside, non-mirror image ground,
r
ijbe the distance between j charge simulation and i match point, as 1≤i≤n, when 1≤j≤n+m, P
ijfor the charge simulation of wire and the coefficient of potential of image charge generation; As n+1≤i≤n+m, when 1≤j≤n+m, P
ijfor the coefficient of potential that charge simulation and the image charge thereof of inside, non-mirror image ground produce, charge simulation system of equations is inverted, show that the size of charge simulation is
In the present embodiment, in step e, position and number according to Optimized Simulated charge method to charge simulation arrange: obtain by the minimum value that solves the known potential of all match points on field domain border and the difference sum of calculating current potential the charge simulation that reaches error requirements:
for charge simulation j is at the current potential at i match point place;
be the known potential of i match point, conductive line surfaces φ=U, on ground φ=0;
Wherein, in formula (2), there is following constraint condition: the electric weight of S1. charge simulation is free variable; S2. the position of charge simulation must be in invalid computation field domain (invalid field domain is that power transmission line is inner but do not comprise border, the inside of rolling ground but do not comprise earth's surface):
y
Q-f(x
Q)<0i=m+1...n (4)
Wherein, in formula (3) and (4), x
qd, y
qdfor charge simulation coordinate on wire, x
o, y
ofor sub-conductor centre coordinate, r is sub-conductor radius, y
qfor groundwater simulation electric charge ordinate, m is sub-conductor number, and adopts method of conjugate gradient to solve the minimal value in formula (2), thereby tries to achieve the charge simulation size of optimization.
In the present embodiment, in steps d: calculate rolling ground power frequency electric field according to all charge simulations that reach error range and distribute: establishing any point is P (x
1, y
1), its electric field intensity is:
Wherein:
And E
ixRthat the real part electric charge of i root wire and image conductor thereof is at the x component of the electric field of calculated field point generation, E
ixlthat the imaginary part electric charge of i root wire and image conductor thereof is at the x component of the electric field of calculated field point generation; E
iyRthat the real part electric charge of i root wire and image conductor thereof is at the y component of the electric field of calculated field point generation, E
iylbe i root wire and image conductor thereof imaginary part electric charge calculated field point produce electric field y component and:
In the present embodiment, in step a, selected mirror image ground is the ground of below, wire road, and one section of ground that this ground is level, can ensure boundary condition, can reduce again the number that charge simulation and match point are set, and improves counting yield.
In the present embodiment, in step b, while charge simulation and match point being set on non-mirror image ground, the line of adjacent two match points is vertical with the line of charge simulation and Corresponding matching point; Charge simulation is in inside, non-mirror image ground away from the equidistant setting along earth's surface of ground corner, and near charge simulation turning, ground and the density of match point setting are greater than away from the charge simulation on earth's surface, turning, ground and the density of match point, as shown in Figure 2.
Taking the power frequency electric field of the actual 220kV common-tower double-return transmission line of alternation current of closing on slope ground as example, and contrast with test result.In the middle of this circuit slope starting point is positioned under circuit, the angle of utilizing transit to record this slope is 10.1650 °, on this slope, having chosen 14 measuring points tests, , result of calculation and test result contrast as shown in Figure 3, in figure, continuous curve is the power frequency electric field value of the transmission line of electricity that draws of electric Field Calculation method according to the present invention, asterisk point represents the electric field value of the transmission line of electricity that is positioned at rolling ground place of measuring by instrument, be 6.5% by the maximum error that can learn result of calculation and test result in Fig. 3, be with hump near electric field difference exist larger error, remaining actual measured value is substantially along the electric field value curve distribution calculating according to method provided by the invention, prove that thus computing method provided by the present invention are effective, and precision is higher.
Meanwhile, utilize respectively conventional computing method and these computing method to calculate the power transmission line sloping Earth model in below (as shown in Figure 2); In conventional Calculation Method, charge simulation evenly arranges along slope, and not in conjunction with Optimized Simulated charge method, establishes the high 20m of wire, and voltage is 100kV, and wire is apart from slope starting point 10m; Place on the slope the charge simulation (quantity is 20~200) of some, making slope current potential is zero, in the time that ramp angles is 30 °, checkpoint (checkpoint shows for the verification error of calculation) in Traditional calculating methods and the maximum error φ curve of checkpoint of the present invention are as shown in Figure 4, as can be drawn from Figure 4, the potential errors calculating according to method provided by the present invention is significantly less than potential errors in traditional algorithm, prove that thus computing method of the present invention are effective, and precision is high.
Two examples proves in to sum up stating, transmission line of electricity computing method of the present invention are obviously better than traditional algorithm.
Finally explanation is, above embodiment is only unrestricted in order to technical scheme of the present invention to be described, although the present invention is had been described in detail with reference to preferred embodiment, those of ordinary skill in the art is to be understood that, can modify or be equal to replacement technical scheme of the present invention, and not departing from aim and the scope of technical solution of the present invention, it all should be encompassed in the middle of claim scope of the present invention.
Claims (7)
1. power frequency electric field computing method for the rolling ground overhead transmission line based on charge simulation method, is characterized in that: comprise the steps:
A. selected mirror image ground, and suppose that mirror image ground extends in rolling ground;
B. at wire and rolling ground, charge simulation and the match point corresponding with charge simulation are set, the current potential that makes rolling ground is 0;
C. according to superposition principle, build charge simulation system of equations, and according to the size of the solving equations charge simulation of charge simulation;
D. calculate the power frequency electric field distribution of rolling ground according to the size of charge simulation.
2. rolling ground high-voltage overhead conductor road power frequency electric field computing method based on charge simulation method according to claim 1, it is characterized in that: between step c and steps d, also comprise step e: according to the big or small computation bound potential errors of charge simulation, if border potential errors does not meet error range requirement, according to potential errors, the position to charge simulation and number are reset again, until border potential errors meets error range.
3. the power frequency electricity of the rolling ground overhead transmission line based on charge simulation method according to claim 2
Field computing method, is characterized in that: in step c, charge simulation system of equations is:
Wherein:
for wire current potential;
for the zero potential on non-mirror image earth's surface, Q
1... Q
nfor the charge simulation of wire inside; Q
n+1... Q
n+mfor the charge simulation of inside, non-mirror image ground,
r
ijbe the distance between j charge simulation and i match point, as 1≤i≤n, when 1≤j≤n+m, P
ijfor the charge simulation of wire and the coefficient of potential of image charge generation; As n+1≤i≤n+m, when 1≤j≤n+m, P
ijfor the coefficient of potential that charge simulation and the image charge thereof of inside, non-mirror image ground produce, charge simulation system of equations is inverted, show that the size of charge simulation is
4. the power frequency electric field computing method of the rolling ground overhead transmission line based on charge simulation method according to claim 3, it is characterized in that: in step e, position and number according to Optimized Simulated charge method to charge simulation arrange: obtain by the minimum value that solves the known potential of all match points on field domain border and the difference sum of calculating current potential the charge simulation that reaches error requirements:
for charge simulation j is at the current potential at i match point place;
be the known potential of i match point, conductive line surfaces φ=U, on ground φ=0;
Wherein, in formula (2), there is following constraint condition: the electric weight of S1. charge simulation is free variable; S2. the position of charge simulation must be in invalid computation field domain:
y
Q-f(x
Q)<0i=m+1...n (4)
Wherein, in formula (3) and (4), x
qd, y
qdfor charge simulation coordinate on wire, x
o, y
ofor sub-conductor centre coordinate, r is sub-conductor radius, y
qfor groundwater simulation electric charge ordinate, m is sub-conductor number, and adopts method of conjugate gradient to solve the minimal value in formula (2), thereby tries to achieve the charge simulation size of optimization.
5. the power frequency electric field computing method of the rolling ground overhead transmission line based on charge simulation method according to claim 4, is characterized in that: in steps d: calculate rolling ground power frequency electric fields according to all charge simulations that reach error range and distribute: establishing any point is P (x
1, y
1), its electric field intensity is:
Wherein:
And E
ixRthat the real part electric charge of i root wire and image conductor thereof is at the x component of the electric field of calculated field point generation, E
ixlthat the imaginary part electric charge of i root wire and image conductor thereof is at the x component of the electric field of calculated field point generation; E
iyRthat the real part electric charge of i root wire and image conductor thereof is at the y component of the electric field of calculated field point generation, E
iylbe i root wire and image conductor thereof imaginary part electric charge calculated field point produce electric field y component and:
6. the power frequency electric field computing method of the rolling ground overhead transmission line based on charge simulation method according to claim 1, is characterized in that: in step a, selected mirror image ground is the ground of below, wire road, one section of ground that this ground is level.
7. the power frequency electric field computing method of the rolling ground overhead transmission line based on charge simulation method according to claim 1, it is characterized in that: in step b, while charge simulation and match point being set on non-mirror image ground, the line of adjacent two match points is vertical with the line of charge simulation and Corresponding matching point; Charge simulation is in inside, non-mirror image ground away from the equidistant setting along earth's surface of ground corner, and near charge simulation turning, ground and the density of match point setting are greater than away from the charge simulation on earth's surface, turning, ground and the density of match point.
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